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Simplifying 5(p + 2) = 8p Reorder the terms: 5(2 + p) = 8p (2 * 5 + p * 5) = 8p (10 + 5p) = 8p Solving 10 + 5p = 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 10 + 5p + -8p = 8p + -8p Combine like terms: 5p + -8p = -3p 10 + -3p = 8p + -8p Combine like terms: 8p + -8p = 0 10 + -3p = 0 Add '-10' to each side of the equation. 10 + -10 + -3p = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3p = 0 + -10 -3p = 0 + -10 Combine like terms: 0 + -10 = -10 -3p = -10 Divide each side by '-3'. p = 3.333333333 Simplifying p = 3.333333333
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